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343359406230 = 235731531102407
BaseRepresentation
bin1001111111100011101…
…00001100000010010110
31012211021022022002020120
410333301310030002112
521111200001444410
6421423115412410
733543523540401
oct4776164140226
91184238262216
10343359406230
11122688484a25
1256666454106
13264bcb930b9
1412893950d38
158de9080570
hex4ff1d0c096

343359406230 has 64 divisors (see below), whose sum is σ = 835904890368. Its totient is φ = 90248359680.

The previous prime is 343359406223. The next prime is 343359406231. The reversal of 343359406230 is 32604953343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343359406231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3301687 + ... + 3404093.

It is an arithmetic number, because the mean of its divisors is an integer number (13061013912).

Almost surely, 2343359406230 is an apocalyptic number.

343359406230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343359406230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417952445184).

343359406230 is an abundant number, since it is smaller than the sum of its proper divisors (492545484138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343359406230 is a wasteful number, since it uses less digits than its factorization.

343359406230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104021.

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 343359406230 in words is "three hundred forty-three billion, three hundred fifty-nine million, four hundred six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 1531 2190 3062 4593 7655 9186 15310 22965 45930 102407 111763 204814 223526 307221 335289 512035 558815 614442 670578 1024070 1117630 1536105 1676445 3072210 3352890 7475711 14951422 22427133 37378555 44854266 74757110 112135665 156785117 224271330 313570234 470355351 783925585 940710702 1567851170 2351776755 4703553510 11445313541 22890627082 34335940623 57226567705 68671881246 114453135410 171679703115 343359406230